{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "\n",
    "## PR451 Testing\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This allows multiple outputs from a single jupyter notebook cell:\n",
    "from IPython.core.interactiveshell import InteractiveShell\n",
    "InteractiveShell.ast_node_interactivity = \"all\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas     as pd\n",
    "import mplfinance as mpf\n",
    "#import datetime   as datetime\n",
    "#import numpy      as np\n",
    "#import matplotlib.dates as mdates\n",
    "#import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            Open  Close  High  Low      Date.1  Volume\n",
      "Date                                                  \n",
      "2019-09-01    29     20    29   20  2019-09-01   10787\n",
      "2019-09-02    29     31    33   23  2019-09-02   17215\n",
      "2019-09-03    29     20    29   20  2019-09-03   16697\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DhUQAAACwHKETAAAAliN0AgAAwHKETgAAAFiO0AkAAADLEToBAABgOUInAAAALMd9OgGgFsoPC3q44KAkaXfBQR3L827LsKAAQOgE4IOmYZWP8xddJKXtlXZ3kE5H+TZP0FUyXGC1wwtWMk9lw4JGF0lpadKbuxfrdHbFRTAsKAIVFxenIUOGKC4urm5+IcNxwmSETgA1Sm2SrB39Z1UY2vLwgYNa8cFi/fnXt6ll29ae6SF9ZK+SIQarHF5QqnSIwcqG+DwdJW3tUvWvZVhQBCo+Pl5Dhw6tu1/IcJwwGaETgE8qC5HZJ84+pjVtLWdcPRqWr/wHI8MLApVjOE6YiAuJAAAAYDlCJwAAACxH6AQAAIDlCJ0AAACwHKETAAAAliN0AgAA1DPFxcXKzMxUaWX3Fg5RhE4AAIB6orCwUPfee6/atGmjvn376sCBA5KkSZMm6S9/+UuQe1c9QicAAA1QdpG0s9D7396fxijYW+65bMYuqDcee+wxbd++Xe+9956ion4e+W3AgAH6xz/+EcSe1YybwwP10IkTJ7Rp0yZddtllio+Pr9UyDpdIK47YNbKFWy3Dze1fZWozLGZdDaVZ58MLwidmrOdmLMMfTZs2rZN5apJdJA3dWfWGPTW74nPvdimRM0RHr8XP1qxZo8WLFysjI0M2m80zvXPnztq3b1/wOuYDQidQD+Xl5Wn16tXq0aNHrT9Ij5RILx1yaEBc3YTOqobSrEpdDqVZ58MLwidmrOdmLMMfqamp2rFjhwoKCrymu1wuZWdny+l0yuFweKY3bdpUqamppvej0H328bGTUvsaTvnbFyY93OzneRDajh49qpYtW1aYfurUqSD0xj+ETgB1JmTHYwdMVFmIdLlciomJUVpamlfotFr7Uqmzq85+HepAz549tW7dOo0fP16SPEc7X3vtNfXu3TuYXasRoRMAAKCemDFjhm644Qbt2rVLpaWleumll7R79259+eWXWr16dbC7Vy0uJAIAAKgn+vbtq02bNsnlcqlr167asGGDWrRoobVr16pnz57B7l61ONIJAABQj3To0EHPPvtssLvhN450AgAAmGDevHkaOHCg2rVrp9TUVN18883KzMz0ajNkyBAlJCR4/bv//vt9/h3r1q3T+vXrK0xfv369Pvzww4Bfg5UInQAAACb4/PPPNW7cOK1bt06rVq1SSUmJhg8fXuHK8ltuuUW7du3y/Js5c6bPv2PmzJlyuSpeHWYYhl/LCQa+XgcAADDBihUrvH5esGCBUlNTtXXrVl188cWe6dHR0UpOrt3dPPbs2aPOnTtXmH7BBRdo7969tVpmXeFIJwAAgAXy8/MlSQkJCV7Tly9frvPPP199+/bVzJkzVVhY6PMyY2NjK70J/J49exQTExNQf63m15FOl8vldff7YHK5/O+Hy+WWy2VU28btdnseKzt8XZ7N7f/ddN1utwwflh0KymrgSy0amv1nbDrl48tu4pBSIr3XrdrUzOVyVZgv61SuTrq8b6h+5OQhSdLOk//V4eM/r4PNHFHq1CTJx99l++mx5u2iKv5uL4Gyarv3e5m12O5ddVQjM9Rmuw90e6mMv+tXoNuKletXXe9Ly17LPh8+5cva+PpaAt3uzdhv1FU9DeNsPfLz873yT2RkpCIjI6ud1+12a+rUqerTp4+6du3qmT5y5Ei1a9dOrVq10o4dOzRz5kxlZWXptdde86lPV199taZOnaolS5aoQ4cOks4GzoceekhXX321vy+xTvkVOjMzMz1vQLBlu6MlXeDfPNnZsttPV9smNzfX0/b06erbSlL0vmz5O5ZE9r5s1bzkwJ06dUrffvutLrzwQjVp0iSgZWVlZZnUq/rhoDtCD5R08WueeeE71dpe7Pk5Ozvb79+bnZ3t9ZdqdslxXf/j/1ZoF10kpaVJb37/N53e7/3cO+fdImd4QoV5Kvyun7YhX7aLqvi7vQTKqu3e736cyfV/nn3Ziomsiy3fPL5u92ZsL5XxZ/0yY1upi/WrrvalOe4ISV30cDM/5sneI3sN74kU+HZv5n7D6nrabDY5nU6lp6d7jTI1efJkTZkypdp5J0yYoJ07d+r999/3mn7rrbd6/t+tWze1atVK119/vfbu3esJkdWZOXOmfvvb36p3795q06aNJOm///2v+vbtq1mzZvnx6uqeX6EzNTU1ZI50ugttkp/rmtPpVFpM9aE5Ojra0zYlJaXGZdamGs72ThlpabWY0z/79+/XF198oYEDB/r0WirjcrmUlZWlTp061ekoGsFWm/Ur2dnRa/3y5+uSMk6nU2nnrBuF+fulHyu2Ox0lba3iM75lShulxdb8fpe9Rl+2i6r4u70Eyqrt3l+F+dHSQT/70d7p0/sSCvzd7s3YXirjz/plxrZi5fpV1/vSNElvnznj59HnmgOPFPh2b8Z+o67qaRiGiouLtX379gpHOqszceJErV27Vv/85z913nnnVdv2oosuknT2aKUvoTMuLk5r167Vhg0btH37dkVFRalbt25e54yGKr9Cp8PhCJnQWZt1zOGw1zif3W73PPq0Itv9Py3WbrfX7gXU5vfIj9dSDYfD0ahCpxnrV23qVb7OjlqsXw4f3++yJr5sF1Uxcx3zhVXbvd/LtPB9CSW+bvehsD824z2pi/WrLvelHSw6vS/Q7b4+fTaVfbsbGxvrU/4xDEOTJk3SmjVr9N5778npdNY4z7Zt2yTJrwuLbDabBg4cqIEDB/o8Tyjg6nUAAAATTJgwQStWrNDSpUvVtGlT5eTkSDobWqOjo7V3716tWLFCgwcPVvPmzbV9+3ZNnz5d/fr1U3p6epXLXbhwoW655RZFRUVp4cKF1fbhzjvvNPU1mYnQCQAAYILFixdLOnsD+HO98MILuummmxQeHq6PP/5YL774ogoLC3Xeeefpuuuu04QJE6pd7oIFC/Tb3/5WUVFRWrBgQZXtbDYboRMAAKChO378eLXPt23bVmvWrPF7ud98802l/69vuE8nAABAPVBSUqJevXpp9+7dwe5KrRA6AQAA6oHw8HCdOXMm2N2oNUInAABAPXH77bfr2WefVWlpabC74jfO6QwR2UVSoY+DnMTYJWeUNf3IzMz0ugGuy+VSdna2CgsLK9yWomnTpkpN9ffW+ABCDds9UH98/fXX2rRpkzZs2KCuXbtWGPrS15GNgoHQGQKyi6ShO8P9mufdLiWmB8/MzEx169bNr3l27NjBB1AVmjZtGvA8TcMqf5Oji6S0vdLuDmdvfu3LPGgcTpw4oU2bNumyyy5TfHx8je3Z7uGvuLg4DRkyRHFxccHuSqMUFxen6667LtjdqBVCZwgoO8L52EmpfQ1Hy/eFSQ838/2oqD/OPdJh5TyNRWpqqnbs2FGhRt99951+//vf629/+5vXeLyVHUFKbZKsHf1nqaDUezzpwwcOasUHi/XnX9+mlm1b/7yMsCilNvH9BsNoePLy8rR69Wr16NHDp9DJdg9/xcfHa+jQocHuRqPjdrv13HPPKSsrSyUlJbr00ks1ZcoUzwhP9QGhM4S0L5U6+zhkGeqHyo4GuVxn3+S0tDT16tWr5mVUEiKzT5x9TGvaWs64mke8AADUb08//bSefPJJDRgwQFFRUXr55Zd19OhRzZ8/P9hd8xkXEgEAAIS4ZcuWae7cuVq5cqVef/11vfHGG1q+fLncbgu++rQIoRMAACDEHThwQIMHD/b8PGDAANlsNh08eDCIvfIPoRMAACDElZaWKirK+0LR8PDwenXrJM7pBAAACHGGYeiee+5RZGSkZ1pRUZEeeOABr9smccskAAAA1NqoUaMqTLvhhhuC0JPaI3QCAACEuBdeeCHYXQgY53QCAADAchzpbEj275cKC3/+OSfn7OO+fdLp095tY2KklJQ66xpgpn0+7Ll8aRNsoTL8bUgov/+Sqt6Hsf8C6qV6sFuuW/V2eK/9+xU20vvcjsSwMA1tkajEqdMVVsnVbaUr3mLHHQStWrXSnXfeqVatWgW7K/VOzE/fzTzczP95Qk2oDH9rxnCtAatk/yVVvw+zYv9Vm3UlVNevUFZvP2cRMEJnOfV2eK/yRwgkxZeWatihHL/mgfVat26tu+++W61bt665Mbw4o84Gr3OPDmadMvTQgQj9uW2xOjWxebUP5aODtRnK1orhbysbrrWqoVqlyodrDVgV+6Jq92EW7L8qW7+qE8rrVyirt5+zCBihE0C9Uv5D3uUyJEkdogx1ibFVMgdqUj5E+jtUa0NCiASswxcDAAAAsByhEwAAAJYjdAIAAMByhE4AAABYjtAJAAAAyxE6AQAAYDlCJwAAACzHfTqBRuBwiXSkxHva3iLvxzItwqWW/g2UAwBAjQid8LBqOLzDJdKKI3aNbOEmzATJiiN2vXTIUelzU7O935S7Wrl0d2sLhr5pQJqG+X8H8drMAwANCaETHlYNh3ekRHrpkEMD4gidwTKyhVsD4ryD5N6is4HzCWeJOpyTh1rwHtUotUmydvSfpYLSopob62zgTG2SbHGvACC0ETrhheHwGqaW1Xxl3iFK6hJTt/1pCAiRAOAfLiQCAACA5QidAAAAsByhEwAAAJYjdAIAAMByhE4AAABYjtAJAAAAyxE6AQAAYDnu0wkA9dn+/VJh4c8/5+Scfdy3Tzp92rttTIyUklJnXQOAcxE6gUaqRfjZIS8DGYEoLi5OQ4YMUVxcnHkd81OLcEMjHIfUIjw+aH0Imv37FTbyBq9JiWFhGtoiUYlTpyustLTCLKUr3iJ4AggKQifQSLUMV8BjrMfHx2vo0KEm9ah2WoZLI8Ny1LIxhs5zj3D+JL60VMMO5fg1DwDUBc7pBAAAgOUInQAAALAcoRMAAACWI3QCAADAcoROAAAAWI7QCQAAYIJ58+Zp4MCBateunVJTU3XzzTcrMzPTq01RUZEmTJigjh07qm3btho7dqxyc3OD1OO6RegEAAAwweeff65x48Zp3bp1WrVqlUpKSjR8+HCdOnXK02batGn64IMP9Oqrr2r16tU6dOiQxowZE8Re1x3u0wkAAGCCFStWeP28YMECpaamauvWrbr44ouVl5enJUuWaNGiRbrsssskSfPnz1efPn20efNmZWRkBKPbdcav0OlyuWSz2azqi19crrP92OfDKyhr43K55XIZpvbD5vb/5tput1uGy+X5uey1+KP8azGjH1W1KXt01dC2KmWvz4r6V8X2ww++3wQ7JkZGu3Zek8x4T6pu5/J6rA0z3peGwox6BkND2u4DfS2m7EdrsQxXHW4/9XU9DVV1VU/DOLuO5ufne+WfyMhIRUZG1jh/fn6+JCkhIUGS9M0336ikpEQDBgzwtLngggvUtm1bQmd5mZmZnjcg2HLcEZK66OFmfsyTvUd2e7Gp/Yg4lKPOfs6z51COzu1Ftjta0gV+LSM7O1t2+8/jKlfWjxNhYfq4RaIGHDmq+EqGwyvfj8qcPn1ad955p06fPq3du3f71UdPX396feX7bJWIQznqPGWqX/PsevIJFbdK9vxsxntSk6ysLL+Wf66y83+ys7N1uvz42o1UIPUMBjPWseh92Ur19/fuy1ZNa8wPP/zgeWzatGnNywzwtVS1H61uH1ZhP3rG/3PisvdlKyaybref+raehjqr62mz2eR0OpWenq6CggLP9MmTJ2vKlCnVzut2uzV16lT16dNHXbt2lSTl5OQoIiKiwtDBSUlJysmpZiSxBsKv0JmamhoyRzrTJL195oxOlfsjx+1264cfflC7du1kt/98ymoTh5QS2cGCjqSp+K1lfh1V61DuqJq70Cb5ud04nU6lxZzzB0Al/TiSm6t3ly5V+gP3KyYpqcZ+VKZTp05q2bKlOnXqJIfD4V8nf1L2+ir02SK1WUM7tkqWkZbm+dmU96QKLpdLWVlZAdU0Ojra8ztTGvk42mbUMxjMWMdqs6472zu91vXKlH24tmvXTmk1tJVMeC1V7Eer3IdVsv8qzI+WDvrZh/ZOpcXWzfZTX9fTUFVX9TQMQ8XFxdq+fXuFI501mTBhgnbu3Kn333/fsv7VN36FTofDETKhU5I6xFSc5nIZCrOfVlpTmxyOOrpOqn37gGavzfbicNgrzleuH7YmTc4+duggu9NZu855fp+j1ht22WyV9tkKdv/fd7vd7vVGmPaeVNu+9jUt+4PKbrfzAfaTQOoZDKasYyas61W2ke/rlymvpZL9qD/7MEctauEIwvZT39bTUGd1Pcu+3Y2NjfUr/0ycOFFr167VP//5T5133nme6cnJySouLlZeXp7X0c7c3FwlJydXtqgGhavXAQAATGAYhiZOnKg1a9bo3XfflbPcH0s9evRQeHi4Nm7c6JmWmZmpAwcONPjzOSWuXgcAADDFhAkTtGLFCi1dulRNmzb1nKcZGxur6OhoxcXFafTo0Zo+fboSEhLUrFkzTZo0SRkZGYROAAAA+Gbx4sWSpCFDhnhNf+GFF3TTTTdJkmbPni273a6xY8equLhYAwcO1Ny5c+u8r8FA6AQAADDB8ePHa2wTFRWluXPnNpqgeS7O6QQAAIDlCJ0AAACwHKETAAAAluOcTpguu0gqPGdEur1F3o/nirFLzqi66RcAAAgeQidMlV0kDd0ZXulzU7Mrn/5ulxKCp5/i4uI0ZMiQCkOpof6IqcX3TLWZpzZatWqlO++8U61ataqbXwigUSB0wlRlRzgfOym1rzjcu5d9YdLDzbyPisI38fHxGjp0aLC7gQA4o87+wVX+W4Gp2eF6wlmiDuX+EKvLbwVat26tu+++W61bt66bXwigUSB0whLtS6XOrmD3AghtVYXIDlFSl0qG+QWA+owLiQAAAGA5QicAAAAsR+gEAACA5QidAAAAsByhEwAAAJYjdAIAAMByhE4AAABYjtAJAAAAyxE6ASBEtAiX7mrlUovKR4xtdPwZ7rVpWOV32o8uknruPPvo6zwArMGIRAAQIlqGS3e3ZlzYMv4M95raJFk7+s9SQal3ujx84KBWfLBYf/71bWrZ9udhPZuGRSm1SbKp/QVQPUInAKBBqCxEZp84+5jWtLWccc667RAAL3y9DgAAAMsROgEAAGA5QicAAAAsR+gEAACA5QidAAAAsByhEwAAAJYjdAIAAMByhE4AAABYjtAJVCKmFltGbeYBYC1/htIEYC1GJAIq4YyS3u1SosJyIxLuLZKmZofrCWeJOpwzbHOM/ew8AEKLP0NpArAWoROoQnUhskOU1CWm7voCAEB9xxeCAAAAsByhEwAAAJYjdAIAAMByhE4AAABYjtAJAAAAyxE6AQAAYDlCJwAAACzHfTpDyD4f3g1f2gAAAIQaIkwIKBs+8eFm/s+DSsRUftf2E2Fh+rhFogYcOar40lKf5imvRbh0VyuXWoQH2kkAABoXQmcIqGzIxaqGW5QYcrFGKSkqXfGWVFjoNfloTo7eff11dX/wATVNTv75iZgYKSXFp0W3DJfubu2uuSEAAPBC6AwRVYVIhluspcpCZHT02cf27SWns067AwBAY8eXtAAAALAcoRMAAACWI3QCAADAcoROAAAAE3z22Wf63e9+py5duighIUFr1qzxev6ee+5RQkKC17+RI0cGqbd1jwuJAAAATFBYWKj09HSNHj1aY8aMqbTNoEGD9MILL3h+joyMrKvuBR2hEwAAwASDBw/W4MGDq20TGRmp5HNv29eI+BU6XS6XbDabVX0xhcvl8nqsr1wu20+PbrlcRq2W4Xa7PY+1rYe/9Szrtz+jKwXyGv1hRj3M0FDW0VDRmOtpc/t/z1i32y2jhlrVdrv3R11t96GiMa+nVqirehrG2XU0Pz/fK/9ERkbW+gjlp59+qtTUVMXHx+vSSy/VQw89pObNm5vS31DnV+jMzMz0vAGhLisrK9hdCEieEaYRjkTl7T+q3bbSmmeoxKlTp9SnTx8dOXJEp0+fDqg/vtYzxx0hqYtfoyvlZO+R3V5cbZtTp07p22+/1YUXXqgmTZr4vvBz5ObmSpKys7MDrocZ6vs6GmoaYz2j92Ur1c95svdly9e139/t3h++bPcNUWNcT61kdT1tNpucTqfS09NVUFDgmT558mRNmTLF7+UNGjRIQ4YMkdPp1L59+zRr1iz99re/1bp16+RwOMzsekjyK3SmpqbWiyOdWVlZ6tSpU71/A38lSYoPaBm/+MUvAprf33qmSXr7zBmdOuePz71FNj10IEJ/blusDlHef7Q0cUgpkR1qXO7+/fv1xRdfaODAgUrxcfSg8qJ/ujm80+ms9TLM0JDW0VDQmOtZm72xs71TRlpatW3M2O6r4+t235A05vXUCnVVT8MwVFxcrO3bt1c40lkbI0aM8Py/W7du6tatm3r16qVPP/1U/fv3D7i/oc6v0OlwOEI+dJZxOBxs2Cbyp54dyo2gVDZbpyY2dYmp3fpjt9s9j7V9X81YhplYR83VKOtp9/8GJHa7/eeNsgaBbPeoXKNcTy1kdT3Lvt2NjY21JP+0b99eiYmJ2rNnT6MIndwyCQAAIAh+/PFHHTt2rNFcWMTV6wAAACYoKCjQ3r17PT9nZ2dr27Ztio+PV0JCgubMmaOhQ4cqOTlZe/fu1SOPPKKOHTtq0KBBQex13SF0AgAAmGDr1q267rrrPD9Pnz5dkjRq1Cg9/fTT+u6777Rs2TLl5eWpVatWGjhwoKZNm9Zo7tVJ6AQAADDBJZdcouPHj1f5/MqVK+uwN6GHczoBAABgOUInAAAALEfoBAAAgOUInQAAALAcoROWaxEu3dXKpRbhwe1HXFychgwZori4uOB2BDBLTC3uyF6beQDABFy9Dsu1DJfubu0OdjcUHx+voUOHBrsbgHlSUlS64i2psNC39jExUhCHgAXQuBE6AaA+I0QCqCf4eh0AAACWI3QCAADAcoROAAAAWI7QCQAAAMsROgEAAGA5QicAAAAsR+gEAACA5bhPJ0LTkSNn/5XJyTn7uG+fdPq0d9sWLc7+AwAAIYvQiZBkX/UP2V/5q+fnxLAwDW2RqMSp0xVWWurV1j3udrnH31HXXQQAAH4gdCIkuYf/Ru7LLvX83FTSkJ/+X1q+MUc5AQAIeYROhCa+MgcAoEHhQiIAAABYjtAJAAAAyxE6AQAAYDlCJwAAACxH6AQAAIDlCJ0AAACwHKETAAAAliN0AgAAwHKETgAAAFjOpxGJXC6X59FuD+2c6na7Zbfb5Xa7ZbPZgt2deo96mo+amot6mo+amo+amquu6ul2uyWdzT9hYQziGCibYRhGTY1KS0t16tSpuugPAABASGnSpAmh0wR+VTAqKirk/0JzuVzKzMxUamqqHA5HsLtT71FP81FTc1FP81FT81FTc9VVPQ3DUFFRkWXLb2x8Cp1lb6jNZgv50Gmz2WQYRr3oa31APc1HTc1FPc1HTc1HTc1V1/XkDwVzhPYJmgAAAGgQCJ0AAACwHKETAAAAliN0AgAAwHKETgAAABPMmzdPAwcOVLt27ZSamqqbb75ZmZmZXm2Kioo0YcIEdezYUW3bttXYsWOVm5vr1eaHH37QDTfcoDZt2ig1NVUzZsxQaWmpV5tPP/1U/fv3V3Jysn7xi19o6dKlFfqzaNEiXXjhhWrVqpWuuOIKbdmyxfwX7QdCJwAAgAk+//xzjRs3TuvWrdOqVatUUlKi4cOHe93rfNq0afrggw/06quvavXq1Tp06JDGjBnjed7lcunGG29USUmJ1q5dqwULFuiNN97Q7NmzPW2ys7N144036tJLL9WmTZt011136Y9//KPWr1/vabNq1So99NBDmjx5sj7++GOlp6drxIgROnz4cN0UoxKETgAAABOsWLFCN910k7p06aLu3btrwYIFOnDggLZu3SpJysvL05IlS/T444/rsssuU8+ePTV//nx9+eWX2rx5syTpo48+0u7du7Vw4UJ1795dgwcP1rRp0/TKK6+ouLhYkrR48WKlpKToz3/+s9LS0jR+/HgNHTpUL774oqcvCxYs0NixY3XzzTerc+fOmjdvnmJiYrRkyZI6r0sZv24O73K5Qv7+YucO2YnAUU/zUVNzUU/zUVPzUVNz1VU9ywZtzM/P98o/kZGRioyMrHH+/Px8SVJCQoIk6ZtvvlFJSYkGDBjgaXPBBReobdu22rx5szIyMrR582Z17dpVSUlJnjaDBg3Sgw8+qF27dunCCy/U5s2bvZZR1mbq1KmSpOLiYm3dulX333+/53m73a7+/ft7wm0w+BU6MzMz5cOomSEhKysr2F1oUKin+aipuain+aip+aipuayup81mk9PpVHp6ugoKCjzTJ0+erClTplQ7r9vt1tSpU9WnTx917dpVkpSTk6OIiAjFxcV5tU1KSlJOTo4kKTc31ytwSlLLli0985e1KZt2bpuTJ0/q9OnTOnHihFwuV6Vtyp9jWpf8Cp2pqan14khnVlaWOnXqxAgCJqCe5qOm5qpv9Qz/w73SsWOBLaR5c5W88Lw5HapEfatpfUBNzVVX9TQMQ8XFxdq+fXuFI501mTBhgnbu3Kn333/fsv7VN36FTofDEfKhs4zD4WDDNhH1NB81NVe9qeexY7Kd1yagRRg//rdOXmu9qWk9Qk3NZXU9y77djY2N9Sv/TJw4UWvXrtU///lPnXfeeZ7pycnJKi4uVl5entfRztzcXCUnJ0s6e9Sz/FXmZRf/nNum/AVBhw8fVrNmzRQdHe2pS2Vtyh9FrUt+hU4AQMMw5quXdbT4VBXPGnK7Ddm/+EBS5R+0iRFN9Novx1vWP6A+MgxDkyZN0po1a/Tee+/J6XR6Pd+jRw+Fh4dr48aNGjp0qKSzpy4eOHBAGRkZkqSMjAw9/fTTOnz4sOfr8Q0bNqhZs2ZKS0vztPnwww+9lr1hwwb17t1bkhQREaGePXtq48aNuvbaayWd/bp/06ZNGjdunHUFqAGhEwAaoaPFpxTtw1eEVc5/pqrAWj9VH8JrRgiHdPYr9RUrVmjp0qVq2rSp5xzM2NhYRUdHKy4uTqNHj9b06dOVkJCgZs2aadKkScrIyPCEzoEDByotLU133XWXHn30UeXm5urxxx/XuHHjPF/r33bbbXrllVf08MMPa/To0dq0aZPefvttvfnmm56+3HPPPbrnnnvUq1cv/eIXv9CLL76oU6dO6eabb677wvyE0AkAaPQI4TDD4sWLJUlDhgzxmv7CCy/opptukiTNnj1bdrtdY8eOVXFxsQYOHKi5c+d62jocDi1btkwPPvigrrrqKsXExGjUqFGaNm2ap43T6dSbb76padOmaeHChWrTpo2ee+45DRo0yNNm+PDhOnLkiGbPnq3c3Fx1795dK1as4Ot1AACA+u748eM1tomKitLcuXO9gmZ5KSkpWr58ebXLueSSS7Rp06Zq24wfP17jx4fOEXhCJwAAISDQr/glvuZHaCN0AgAQAgL9il/ia36ENkInUA4XFAAAYD5CJ1AOFxQA8NdfX/5S9md+V+XzdkldDbfsNnvVC7m7pxTgkU4glBE6AQAIUGJBsWztnNW2qfEW5vVkmGmgtqr5kwsAAAAwB0c60aCYcT4mQo/9rnuqHK/cp68tJal5c7lfWmB+5wAAPiF0okHhfMwGqobxyn0Zedn48b/m9QchhT82gfqB0AkAqNf4YxOoHzinEwAAAJZrlEc6GfUBAALHPW0B+KNRhk5GfUBjUN3FNz7j4htUg6+1AfijUYZOoFGo4eIbX3DxDQDALITOWqpp9AmfcBQJAGAiPpsQygidteTL6BM14SgSAMBMfDYhlBE6ATQKo8d01ZHP/xLQMrjwBQBqj9AJoFE40iScCwgBIIi4TycAAAC8fP755xo/fryuvPJK/fe/Z0+5WLZsmf71r3/VepmETgAAAHi8++67GjlypKKjo/Xtt9+quLhYkpSfn6958+bVermETgAAABN89tln+t3vfqcuXbooISFBa9as8Xr+nnvuUUJCgte/kSNHerU5fvy47rjjDqWkpMjpdOree+9VQUGBV5vt27fr6quvVqtWrdStWzc9++yzFfry9ttvq3fv3mrVqpX69eundevW+fw65s6dq3nz5unZZ59VeHi4Z/qvfvUrffvttz4vpzxCJwAAgAkKCwuVnp6up556qso2gwYN0q5duzz/XnnlFa/n77jjDu3atUurVq3SsmXL9Pnnn+tPf/qT5/n8/HyNGDFC7dq104YNG/TYY49pzpw5evXVVz1tvvjiC40bN06jR4/Wxo0bde2112r06NH67rvvfHodWVlZ6tevX4XpsbGxysvL82kZleFCIgAAABMMHjxYgwcPrrZNZGSkkpOTK31u9+7dWr9+vT766CP16tVLkjRnzhzdcMMNmjVrllq3bq3ly5eruLhY8+fPV0REhLp06aJt27ZpwYIFuvXWWyVJCxcu1KBBg/THP/5RkjR9+nR9/PHHWrRokf7yl5rv4pGUlKQ9e/YoJSXFa/q///1vtW/fvsb5q8KRTgAAgDry6aefKjU1VRkZGXrggQd07Jzhijdv3qy4uDhP4JSkAQMGyG63a8uWLZ42/fr1U0REhKfNoEGDlJmZqRMnTkiSvvzySw0YMMDr9w4cOFCbN2/2qY9jx47V1KlT9dVXX8lms+ngwYN66623NGPGDN122221fOV+Hul0uVyy2Wy1/mV1weVyeT1Wzqibzvig+n4Gn2/1DCWBvrdmrBtGtfWqq5qa9RdlKLz3ofPXcfXvrS9C530J/W3Fn+UEd/6GJxS2++rU1X7UMM6uG/n5+V75JzIyUpG1uAXboEGDNGTIEDmdTu3bt0+zZs3Sb3/7W61bt04Oh0M5OTlq2bKl1zxhYWFKSEhQTk6OJCk3N7fCEciyeXJychQfH6/c3NwKy2nZsqVyc3N96uf9998vt9utYcOGqbCwUNdee60iIyP1f/7P/9H48bW/V7FfoTMzM9PzBoS6rKysKp9zu0PjNbgNt3bv3h3sbvikunqGkkDfWzPWDbfb8Ol9tbqmXQ23HAEuI1TWUTNeixl8fW+rEyrvS33aVqzuS6h8JoSKUNnufWH1ftRms8npdCo9Pd3rYp7JkydrypQpfi9vxIgRnv9369ZN3bp1U69evfTpp5+qf//+pvTZDDabTRMmTNAf//hH7dmzR6dOnVJaWpqaNm0a0HL9Cp2pqan14khnVlaWOnXqJIej8l27/YsP6rhXlbPb7EpLSwt2N6rlSz1DSaDvrd0e+Pptt9uqfV/rqqZ2W+DH1EJlHTXjtZihpvfWp2WY8b4Ulyj90cdqv4DmzWUf2ymwPtTBtuLzckJgu29IQmW7r05d7UcNw1BxcbG2b99e4UinGdq3b6/ExETt2bNH/fv3V3Jysg4fPuzVprS0VMePH/ecB5qUlFShTdnPNbVJSkryq38RERHq3LmzX/NUx6/Q6XA4Qj50lnE4HNWsiKHzGupDkJNqqmcoCfS9NWPdsPlUq/pS0/rQx7rj23tbF2zntan1vGfH1q4/24ovywnu/A1PqKznNbF6P1r27W5sbKwl+efHH3/UsWPHPGExIyNDeXl52rp1q3r27ClJ2rRpk9xuty666CJPmz//+c8qKSnx3M5ow4YNSk1NVXx8vCSpd+/e2rhxo+6++27P79qwYYMyMjJ86ldRUZFefvllffLJJzpy5IjcbrfX8xs3bqzV6+XqdQAAABMUFBRo7969np+zs7O1bds2xcfHKyEhQXPmzNHQoUOVnJysvXv36pFHHlHHjh01aNAgSVJaWpoGDRqk++67T/PmzVNJSYkmTZqk4cOHq3Xr1pKkkSNH6n/+539077336r777tPOnTu1cOFCPf74457fe+edd2rIkCGaP3++rrzySq1atUpbt27VM88849PruPfee7VhwwYNHTpUF110kWmBm9AJAABggq1bt+q6667z/Dx9+nRJ0qhRo/T000/ru+++07Jly5SXl6dWrVpp4MCBmjZtmtfX9YsWLdLEiRM1bNgw2Ww2DR06VE8++aTn+bi4OK1cuVITJ07U5ZdfrsTERE2cONFzuyRJ6tOnjxYtWqTHH39cs2bNUseOHbVkyRJ17drVp9exdu1avfXWW/rVr34VYEW8EToBAABMcMkll+j48eNVPr9y5coal5GQkFDhhvHlpaen6/3336+2zbBhwzRs2LAaf19l2rRpE/BFQ5UJjbPzAQAAEBJmzZqlRx99VPv37zd1uRzpBAAAgEevXr105swZ9erVSzExMQoL846L55636g9CJzTmq5d1tPhUFc8acruNn25JUvmJxIkRTfT6K1ulc0ZV8Fvz5nK/tKD28wMAAFOMGzdOBw8e1IwZM5SUlMSFRDDP0eJTig7gnmNHz5ySjh0L+BYu9rvuCTi4amxq7ecHAAD68ssvtXbtWnXv3t3U5RI6ETpMCK4AACAwqampKioqMn25hE4AVRo9pquOfP6XgJaRGNFEr/2y9mP1AgDq1iOPPKKHHnpIM2bMUNeuXSuc0xkbG1ur5RI6AVTpSJPwgE69kH46/QIAUG+MHDlSknT99dd7TTcMQzabTUePHq3VcgmdAAAA8HjvvfcsWS6hEwAAeJhxWk2Ju1Th9sAiBqfmBM/FF19syXIJnQAAwMOM02qKCosVy6k59dZnn31W7fO1DaWETgAAAHicO358mXPv1ck5nfXRmTOy3/C7gBYx+tbuOhIfE1g3XCWKVmB/kQIAgIah/IhDpaWl+vbbbzV79mw99NBDtV4uoTPIArkvpSQdibKb8jUIgJr99eUvZX8msD8UdeaMOZ0BAIvExcVVmHb55ZcrIiJC06dP18cff1yr5RI6AcBHiQXFsrVzBrQMY0/txiwGgGBr2bKlsrKyaj0/oRMAAAAe27dv9/rZMAzl5OTomWeeUXp6eq2XS+gEAACAx2WXXSabzSbDMLym//KXv9T8+fNrvVxCJwAAADy2bt3q9bPdbleLFi0UFRUV0HIJnQAAAPBISUmxZLmETgAAgEZu4cKFPre98847a/U76l3otN91j3TsWNXPS+pquGW32ateyN09pQBvMwTAN2dcJbomwCH13nGXKrAvdRCqatqn16h5c2lsqnkdAhqpBQsW+NTOZrM1ntCpY8dqvLelo6ZllDsxFoB1DBkB30vWENtsg+XDPr06xo//NbEzQGA+++wzPf/88/rmm2906NAhLVmyRNdee63necMw9MQTT+jvf/+78vLy1KdPHz399NM6//zzPW2OHz+uSZMmae3atbLZbBo6dKieeOIJNW3a1NNm+/btmjhxor7++mslJiZq/Pjxuu+++7z68vbbb2v27Nnav3+/OnbsqEcffVRXXnlllX3/5ptvTKxE5ao5HAgAAABfFRYWKj09XU899VSlzz/77LNauHCh5s2bpw8//FAxMTEaMWKEioqKPG3uuOMO7dq1S6tWrdKyZcv0+eef609/+pPn+fz8fI0YMULt2rXThg0b9Nhjj2nOnDl69dVXPW2++OILjRs3TqNHj9bGjRt17bXXavTo0fruu+/8fk2GYVS4ir22CJ0AAAAmGDx4sB566CENGTKkwnOGYeill17ShAkTdM011yg9PV0vvviiDh06pDVr1kiSdu/erfXr1+u5557TL3/5S/Xt21dz5szRqlWrdPDgQUnS8uXLVVxcrPnz56tLly4aMWKExo8f7/X1+MKFCzVo0CD98Y9/VFpamqZPn64ePXpo0aJFPr+WZcuWqV+/fmrdurVat26tiy++WMuWLQuoPn59ve5yubwGfA8GUnIoCqWvPgPtixmvxaj2PDWfzjtu3lwlLzwfUC/YVlC90NhWzBEKrwXmM+RyuSp9pmx6Vc+b1oOfjvDl5+d75Z/IyEhF+nnaUHZ2tnJycjRgwADPtLi4OF100UXavHmzRowYoc2bNysuLk69evXytBkwYIDsdru2bNmiIUOGaPPmzerXr58iIiI8bQYNGqRnn31WJ06cUHx8vL788kv94Q9/8Pr9AwcO9ITbmrzwwguaPXu2xo0bpz59+kiS/v3vf+vBBx/UsWPHdM899/j12sv4FTozMzNNO8RaW10Nd83nbNYbDWNH53Ybcgf4vrgNtyQfzsetYRlud2A1DXT+smW4jx6Ro23bKtvU9DpvGhivw/96JqB+vOsuUXRAS4A1gh/WQmpbMWHfEQqvBeZzuw3t3r272jaBDMnoC5vNJqfTqfT0dBUUFHimT548WVOmTPFrWTk5OZLODiV5rqSkJOXm5nralH8+LCxMCQkJnvlzc3Mr3NKobJ6cnBzFx8crNze3wnJatmzp+T01efnll/X000/rd7/7nWfaNddcoy5duujJJ5+sm9CZmpoa/COd1R0dqneCW0uz2O22gN8XM95Xu80uuz2wmgY6f9kyAn09R5uEq0k0kbFhMmO7D3A9b0DbSqi8FpjPbrcpLS2t0udcLpeysrLUqVMnORzWHYoyDEPFxcXavn17hSOdDVlOTo569+5dYXrv3r094bc2/AqdDocj6KEToSiU1olA+xL8QADUjYa0rYTCa4H5bDUGSofDYXnolKTY2NiA809ycrIk6fDhw2rVqpVnem5urrp37+5pc/jwYa/5SktLdfz4cc/8SUlJFdqU/VxTm6SkJJ/62qFDB/3jH//Qgw8+6DX9H//4hzp27OjTMirTkA4bAgAAhCSn06nk5GRt3LjRMy0/P19btmxRRkaGJCkjI0N5eXlew1Bu2rRJbrdbF110kafN559/rpKSEk+bDRs2KDU1VfHx8ZLOHpE89/eUtSn7PVUpu7p92rRpeuKJJzRy5Eg99dRTeuqppzRy5EjNmTNH06ZNq3UNCJ0AAAAmKCgo0LZt27Rt2zZJZy8e2rZtm3744QfZbDbdddddmjt3rv75z39qx44duvvuu9WqVSvPvTzT0tI0aNAg3XfffdqyZYv+/e9/a9KkSRo+fLhat24tSRo5cqQiIiJ07733aufOnVq1apUWLlzodZ7lnXfeqfXr12v+/Pn6/vvv9eSTT2rr1q264447qu3/JZdcoiuuuEJHjx7VO++8o+bNm2vNmjVas2aNmjdvrvXr11d6Zb6v6t/N4QEAAELQ1q1bdd1113l+nj59uiRp1KhRWrBgge677z4VFhbq/vvvV15enn71q19pxYoVior6ecy1RYsWaeLEiRo2bJjn5vBPPvmk5/m4uDitXLlSEydO1OWXX67ExERNnDhRt956q6dNnz59tGjRIj3++OOaNWuWOnbsqCVLlqhr167V9n/16tVaunSpHn74Ybndbl133XV6/PHHdfHFF5tSH0InAACACS655BIdP368yudtNpumTZtW7VfUCQkJeuWVV6r9Penp6Xr//ferbTNs2DANGzas2jbl9evXT/369dOcOXP09ttva+nSpRo6dKg6dOig0aNHa9SoUZ7zRmuDr9cBAADg0aRJE918881as2aNNm/erOuvv16vvPKKunfvrlGjRtV6uYROAAAAVKpjx4564IEHNGHCBDVt2lTr1q2r9bL4eh0AAAAVfPbZZ3r99df13nvvyWaz6Te/+Y1Gjx5d6+UROgEAACBJOnjwoJYuXao33nhDe/bsUe/evfXkk09q2LBhatKkSUDLJnQCAABAI0eO1MaNG5WYmKgbb7xRo0ePVmpqqmnLJ3QCAABA4eHh+t///V9dddVVloz0ROgEAACA3njjDUuXz9XrAAAAsByhEwAAAJYjdAIAAMByhE4AAABYjtAJAAAAyxE6AQAAYDlCJwAAACxH6AQAAIDlCJ0AAACwHKETAAAAliN0AgAAwHKETgAAAFiO0AkAAADLEToBAABM8OSTTyohIcHrX+/evT3PFxUVacKECerYsaPatm2rsWPHKjc312sZP/zwg2644Qa1adNGqampmjFjhkpLS73afPrpp+rfv7+Sk5P1i1/8QkuXLq2T1xcoQicAAIBJOnfurF27dnn+vf/++57npk2bpg8++ECvvvqqVq9erUOHDmnMmDGe510ul2688UaVlJRo7dq1WrBggd544w3Nnj3b0yY7O1s33nijLr30Um3atEl33XWX/vjHP2r9+vV1+jprIyzYHQAAAGgowsLClJycXGF6Xl6elixZokWLFumyyy6TJM2fP199+vTR5s2blZGRoY8++ki7d+/W22+/raSkJHXv3l3Tpk3To48+qilTpigiIkKLFy9WSkqK/vznP0uS0tLS9O9//1svvviiBg0aVKev1V9+Hel0uVxB/4dQZAS7A+cItC+GScsAQl1D2lZC4bXAfEaNeaCuckd+fr7XvzNnzlTZ6z179qhLly7q2bOn7rjjDv3www+SpG+++UYlJSUaMGCAp+0FF1ygtm3bavPmzZKkzZs3q2vXrkpKSvK0GTRokE6ePKldu3Z52py7jLI2X375ZcAVt5pfRzozMzNlGMHdMLsabjmC2gMzNYydnNttyB3g++I23JIU8DLc7sBqGuj8ZcsItB5oyMzY7gNczxvQthIqrwXmc7sN7d69u9o2WVlZlvbBZrPJ6XQqPT1dBQUFnumTJ0/WlClTKrS/6KKL9MILL6hTp07KycnRnDlzdM011+jzzz9XTk6OIiIiFBcX5zVPUlKScnJyJEm5ublegVOSWrZsKUlebcqmndvm5MmTOn36tKKjowN/4RbxK3SmpqbKZrNZ1Ref2G0N6TTU4NbSLHa7LeD3xYz31W6zy24PrKaBzl+2jIa1nsJcZmz3Aa7nDWhbCZXXAvPZ7TalpaVV+pzL5VJWVpY6deokh8O6P/ENw1BxcbG2b9/ulX8iIyMrbT948GDP/9PT0/XLX/5S3bt319tvv62oqCjL+llf+BU6HQ5H0EMnQlEorROB9iX4gQCoGw1pWwmF1wLz2WoMlA6Hw/LQKUmxsbG1yj9xcXHq1KmT9uzZo8svv1zFxcXKy8vzOtqZm5vrOQc0KSlJW7Zs8VrG4cOHJcmrTdm0c9s0a9YspI9ySly9DgAAYImCggLt3btXrVq1Uo8ePRQeHq6NGzd6ns/MzNSBAweUkZEhScrIyNB3333nFSo3bNigZs2aeY76ZmRkeC2jrM25t2YKVYROAAAAE8yYMUOfffaZ9u/fry+++EJjxoyRw+HQiBEjFBcXp9GjR2v69On65JNPtHXrVv3hD39QRkaGJ3QOHDhQaWlpuuuuu7Rt2zatX79ejz/+uMaNG+f5Sv+2225Tdna2Hn74YX3//fd65ZVX9Pbbb+vuu+8O5kv3CbdMAgAAMMGPP/6ocePG6dixY2rRooX69OmjDz/8UC1atJAkzZ49W3a7XWPHjlVxcbEGDhyouXPneuZ3OBxatmyZHnzwQV111VWKiYnRqFGjNG3aNE8bp9OpN998U9OmTdPChQvVpk0bPffccyF/uySJ0AkAAGCKxYsXV/t8VFSU5s6d6xU0y0tJSdHy5curXc4ll1yiTZs21aqPwcTX6wAAALAcoRMAAACWI3QCAADAcoROAAAAWM6nC4nKbo4a7CEwJcmIipKqGAnAV9GOCEXZwwPuhxFgP4zo6JB4LdH28MCWYXcH/L4YZSM1BLgMM16LpKDXI1TW0ZBYvxQ6ryVUtvtAl9GQtpVQeS0NaR0Nle1edneVucMwDNlsNhmGYWk2OTf/MDhO4GyGD++W2+3WyZMn66I/AAAAIaVZs2ay2/lyOFA+h07PDCGe9PPz85Wenq7t27crNjY22N2p96in+aipuain+aip+aipueqqnudGJEJn4Hz6er0+Fdpms6mgoEA2my3kA3J9QD3NR03NRT3NR03NR03NVVf15L0yV/1JkwAAAKi3CJ0AAACwXIMLnZGRkZo8ebIiA7x6D2dRT/NRU3NRT/NRU/NRU3NRz/rJpwuJAAAAgEA0uCOdAAAACD2ETgAAAFiO0AkAAADLEToBAABgOUInTMV1aQh1546wBoQq9qVoiBp16GSjNtenn36qtWvXqqSkJNhdaVBYT82zfv16vf766zpz5kywu9KgsI6ai30pGqpGGTp37Nih3Nxc2Ww2dpYmee211zR69Gjl5ubq+PHjkvggCtRXX32l/fv3s56a5LXXXtNtt92mM2fO6OjRo57p1Lb22Jeaj30pGrJGFzqXL1+ua6+9Vs8995xycnLYWZpg/fr1mjFjhp566imNHTtWSUlJkiSXyyWJrzNrY+XKlbrmmms0bdo07du3j/U0QJ988olmzpypp556SuPGjVOrVq0kSaWlpYytXEvsS83HvhQNXaO6Ofxnn32mP/3pT0pMTFRpaakuvfRS3XXXXUpOTpZhGHz4+KmsZrNmzdKRI0f07LPPKisrSy+99JIOHjyoiIgIPfzww+rQoUOwu1qv/Otf/9KDDz6olJQUnT59WomJiXr44YfVvn171lM/ldXrueee0zfffKO//vWv+v777/XUU08pJydHZ86c0UMPPaS+ffsqLCws2N2tN9iXmot9KRqLRnOk0zAM/b//9//UvXt3/e1vf9NVV12ljz76SC+99BJ/pQdo7969Ov/883Xq1CkNGTJEZ86cUWJioo4dO6b+/fvrq6++ksRf6b46ePCg2rdvryeffFI33nijcnJy9Nhjj3mOeFJH35WFn5ycHCUnJ6ugoEDXX3+9mjZtqr59+6pdu3YaOXKk3nnnHUmso75gX2od9qVo6BrNn/Y2m01Dhw7VhRdeqNatW2vixIlyuVx6//33JUl33nmn5ys3/lL3TVmNkpOT9d5778kwDF1xxRV6/vnnJUnFxcX6wx/+oHHjxumTTz5Rs2bNgtndemP48OFKTU1V+/bt1b59e7lcLi1btkyPPfaYZsyY4TnaUbaeut1u2e2N5u/HWklISNDf//53paWlaeDAgfrLX/7ieW7GjBmaMmWK+vfvrxYtWgSxl/UD+1LzsS9FY9GoPqni4uLUs2dPz1/hU6ZM0TXXXKOPPvpICxcu1OHDh3Xq1ClNmTJFeXl5Qe5t/XH99dcrOjpar7/+upo0aSLp7DlIERERuv322+VyuXTgwIEg9zJ0la2P5x696N69u+f/Y8aM0e9+9zsdOnRIs2bN0v79+1VUVKTbb79dx48fJ3CWU1ZPwzA8/x89erScTqeefPJJ5efnSzr7QS5Jd9xxhyIiIrR79+7gdLgeio+PV8+ePT0/sy81x9ChQxUTE8O+FA1Wgz7S+dlnn+m7775TeHi4LrzwQv3iF7+QdPavytLSUoWFhWny5MmSpA8++EBFRUX68ssvdezYMc2ePTuYXQ9ZldW0Z8+euvDCC/Wvf/1LTZo0UUlJicLDwyVJzZo1U3x8vBwOR5B7HroOHTqk1q1by263VzgyVHYUc8yYMbLZbFq2bJmmT5+uH3/8UdnZ2RzxqERZPc/9mrdFixa65ppr9MILL2jHjh06deqU50PdMAwlJCQoOjo6mN0Oad9++6327Nkjh8OhLl26qFOnTp7nytZR9qX+qaymPXr0UNeuXfWvf/1LX375JftSNDxGA/X3v//dSElJMa644gqjT58+RlJSkjF37lzjxIkTnjYlJSWe/z/88MNGQkKCMWDAAKO4uNgwDMMoLS2t836Hsspq+tRTTxkul8soLCw0Jk+ebHTo0MH4zW9+Y+zcudP4z3/+Y9x0003G8OHDDZfLFezuh6S33nrL6NSpk7Fs2TLPNLfb7dXm3NotWLDASEhIMAYNGsR6WonK6lm2nZ8+fdp47rnnjE6dOhm9e/c2NmzYYPzf//t/jZtuusm49tprWUer8Nprrxnp6enGxRdfbFx44YXGVVddZXzzzTdebc5dB9mX1qyymv7nP/8xDMMwCgoKjEmTJhkdO3ZkX4oGp0GGzu+//97o2rWrsXz5csMwDOPw4cPG4sWLjcTEROPBBx80jh496mnrdruNEydOGFdffbUxaNAgzwfUuYEU1df0vvvuM4qLi43Tp08bL7/8sjFw4ECjZcuWRr9+/Yxf//rXng8edpbeNmzYYHTu3Nno37+/0bdvX+PNN9/0PFc+eJatp9dcc41x2WWXsZ5Worp6ltXpzJkzxrp164wRI0YYTqfTuPjii41hw4axjlbhvffeM5xOp7FixQojPz/f+OSTT4zhw4cbzz//vGEY3usp+1Lf1FRTwzCMwsJC9qVokBpk6Ny5c6fRq1cvY9euXV7T//nPfxqJiYnGzJkzDcP4eYf56quvGueff75ng2YnWVFNNX344YcNw/j5iMZ//vMfY+/evZ6dIzX1VlBQYNx7773GfffdZ3zyySfG/fffb/Tu3dsrKJX/YFm5cqXRt29f1tNK+FLP8vXKzMw0cnNzWUerkJuba9x0003GE0884TX9/vvvN379619XOg/70ur5UtOy9bHs84l9KRqSBnlOp9vtVnZ2tg4ePKi0tDS5XC7ZbDZdffXVevHFF3XnnXeqb9++Gjx4sCTplltu0ZgxY2S32z3nesKbLzXt16+frrrqKklSr169vOalpt6aNGmi22+/XYcPH9Yll1yiFi1ayDAMPf3005KkG264ocI5nsOHD9dvfvMbr3OScZYv9QwLC5Pb7ZbNZpPNZlPHjh09F2GxjlZkt9vVuXNn9e3bV9LP52727t1bO3bskFTx6nT2pdXzpaZl9Sx77NGjB+spGowGedlr165dNWrUKM2YMUM7d+70nHjtcrn029/+Vtddd53effdduVwuz9i2ZR/wbNCV86Wmq1evlsvlqnAPOa6urlyPHj10xRVXSJI6d+6s8ePHq1+/fpo7d67eeustSdKRI0e0du1azzxlF8ewnlbkSz2PHj2qdevWSfJeL1lHK0pMTNQtt9yi/v37S/o5BDVv3lyS92hOO3fu9MzHvrRqtakp6ykakga7V7jxxhv1448/atasWXrkkUeUlpbmuZI1NjZW+fn5cjgcXlcCcj+56vlaU/in7GhRly5ddMcdd8hms2nevHk6efKkli9frqNHj+rKK6+scAQElfO3nqhaSkqKJO8jmidOnFB+fr4nVI4YMUJFRUVas2aNZz5qW7Xa1hRoCBrsn02XXnqpRo0apYKCAj344IP6+uuvZbPZVFhYqB9++EGtW7cOdhfrHWpqjXM/oLt27ao777xTF110kSZOnKgzZ87o888/Z5QXP1BP85UPkZGRkZLOnrbwww8/6O233w5Cr+o3aorGqEEe6Sz7C/KGG25Qs2bN9Oabb2rQoEHq2bOnTp8+LZvNpuXLl3u1RfWoad0577zz9PXXX6tXr15au3atwsLCOD8uANTTXElJSYqIiNC1116rgwcP6osvvlB4eDg1DQA1RWNRb9fmsmBzbsApOyn73KEBr776al1yySW68cYblZ2drSZNmmjUqFF88FSCmpqvuppWpqSkRI8++qgMw9AHH3xATcuhnubzt6bHjx/XV199pQsvvJBwVAVqClTOZtTD75jO3XgPHz6s6OhoNWnSpMLRteqOuLlcLs4/PAc1NZ+vNS1v586duuCCC+RwOPjgOQf1NF9tarpt2za9+eabevTRRwnxlaCmQNXqZegs88QTT+jdd9+V3W5XixYt9MQTT6hLly58tRsAamq+2taUEF856mm+2taUcFQ1agpUVK8uJDr3VjxLly7VwoULddddd+nWW2+V3W7XkCFDPLdDqcdZuk5RU/OZVVMC0lnU03y1rWn5+hKOfkZNgZrVyyOdH3zwgf7zn/+oQ4cOGjVqlGf63XffrXXr1umzzz5Tq1atgtjD+oeamo+amot6mo+amo+aAlWrV0c6Jenrr7/WjBkzNH/+fM/XFMXFxZKkF198Ueedd56ef/75YHax3qGm5qOm5qKe5qOm5qOmQPVCPnSWPxDbsWNH3X777UpISPCMMhIREaHS0lK5XC61adNGRUVFwehqvUFNzUdNzUU9zUdNzUdNAf+EdOgsGye5zKlTpxQXF6dbb71VDz74oPbt26fx48dLOnsejMPh0OHDhz032UVF1NR81NRc1NN81NR81BTwX8ie03nubSfmz5+vrVu36ttvv9WYMWM0ePBgpaamavHixXrmmWcUHx+vCy64QHa7XVu3btUXX3zBydiVoKbmo6bmop7mo6bmo6ZALRkh7tFHHzUuuOAC44UXXjD+9re/GU6n0xgzZoxx8uRJ4+TJk8aiRYuMX/7yl8avfvUrY8OGDZ75SkpKgtfpEEdNzUdNzUU9zUdNzUdNAf+E9J9bX3/9tVavXq0lS5YoIyNDX3/9tQoKCnTNNdeoadOmkqSbb75Zbrdbb731llatWqUBAwZIqjiuLc6ipuajpuainuajpuajpkAtBDv1nquoqMjr5y1bthgDBw40DMMwVq1aZbRt29Z45ZVXDMMwjJMnTxofffSRYRiGkZ+fbyxcuNAYMGCA8fvf/75uOx3iqKn5qKm5qKf5qKn5qCkQuJC5kOijjz7SwoULtWXLFs+04uJiHTp0SH//+9/1pz/9SY888ohuv/12SdKWLVu0ePFiff/992rWrJluuukmDRs2TIcOHdKhQ4eC9TJCCjU1HzU1F/U0HzU1HzUFTBLs1GsYhrFkyRKja9euxgMPPGBs2bLF67nbb7/dSEhIMObMmeOZVlRUZNx4443G2LFjDZfL5Zl+8uRJ4/jx43XV7ZBGTc1HTc1FPc1HTc1HTQHzBP2czpUrV2rSpEmaP3++Bg0apNjYWK/nx48fr9zcXC1dulQpKSk6ceKEPvzwQ/33v//Vpk2bZLfbPbeuKDuPprGjpuajpuainuajpuajpoC5gnrLpCNHjuj3v/+9hg4dqjvuuMMzvaCgQLt27VJYWJh69uyprKwsPfPMM/r444/VsWNHtW/fXvPmzVNYWJhKS0u5/cQ5qKn5qKm5qKf5qKn5qClgvqBvDUeOHFGbNm08P//1r3/VJ598onfffVdJSUlKS0vTO++8o/nz5+vo0aNKTEz0tGWDrhw1NR81NRf1NB81NR81BcwV9AuJ8vPztW7dOm3atEm33HKLFi9erMTERK1cuVJz5sxRdna2nnrqKUlSXFycZz7DMNigq0BNzUdNzUU9zUdNzUdNAXMFdato0aKFFixYoLFjx2rTpk1q2rSpnnjiCaWnp6t58+Y6ceKEYmNj5XK5znb2nI2Y+5xVjpqaj5qai3qaj5qaj5oC5gv6n2L9+/fXli1bdOrUKTmdzgrPN23aVK1atQpCz+ovamo+amou6mk+amo+agqYK2THXj9y5Ij+8Ic/6NixY/rggw/kcDiC3aV6j5qaj5qai3qaj5qaj5oCtRP0I53lHT16VH//+9/173//W0eOHPFs0C6Xiw27lqip+aipuain+aip+agpEJigX0hU3n//+1998cUX6tixo9auXavw8HCVlpayQQeAmpqPmpqLepqPmpqPmgKBCcmv1/Py8hQbGyubzcZfkCahpuajpuainuajpuajpkDthWToLGMYBlcBmoyamo+amot6mo+amo+aAv4L6dAJAACAhiHkzukEAABAw0PoBAAAgOUInQAAALAcoRMAAACWI3QCAADAcoROAAAAWI7QCQAAAMsROgEAAGA5QicAAAAsR+gEAACA5f4/CV7x8FnYepIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 800x575 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# %load pr451_test.py\n",
    "import pandas as pd\n",
    "import mplfinance as mpf\n",
    "import ast \n",
    "\n",
    "df = pd.read_csv('pr451data.csv',index_col=0,parse_dates=True)\n",
    "\n",
    "df = df.iloc[0:30]\n",
    "print(df.head(3))\n",
    "\n",
    "\n",
    "custom_colors = []\n",
    "for i in range(len(df)):\n",
    "    if i % 3 == 0:\n",
    "        custom_colors.append(mpf.make_marketcolors(up='#29c9ff', down='#f3b5ff', edge='#29c9ff',\n",
    "                                                   wick='#29c9ff', ohlc='#32a852', volume='#a89132'))\n",
    "    elif i%5 == 0:\n",
    "        custom_colors.append(\"#000000\")\n",
    "    else:\n",
    "        custom_colors.append(None)\n",
    "\n",
    "#STYLE = 'binance'\n",
    "STYLE = 'yahoo'\n",
    "\n",
    "#mpf.plot(df, type='candle',style=STYLE,volume=True,block=False,figscale=3.0,savefig='pr451t2no.jpg')\n",
    "mpf.plot(df, type='candle',style=STYLE,volume=True,block=False)\n",
    "\n",
    "mpf.plot(df, type='candle',style=STYLE,volume=True,block=False,marketcolor_overrides=custom_colors)\n",
    "\n",
    "mpf.plot(df, type='candle',style=STYLE,volume=True,block=False,marketcolor_overrides=custom_colors,mco_faceonly=True)\n",
    "\n",
    "#nans = [float('nan')]*len(df.columns)\n",
    "#for row in [8,9,10,11]:\n",
    "#    df.loc[df.index[row]] = nans\n",
    "#mpf.plot(df, type='candle',style=STYLE,volume=True,block=False,figscale=1.5)\n",
    "#mpf.plot(df, type='candle',style=STYLE,override_marketcolors=custom_colors,volume=True,figscale=3.0,savefig='pr451t2ye.jpg')\n",
    "#mpf.plot(df, type='candle',style=STYLE,override_marketcolors=custom_colors,volume=True,figscale=1.5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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